Measurement-based quantum computation with variable-range interacting systems

• URL: http://arxiv.org/abs/2506.11909v1
• Date: Fri, 13 Jun 2025 15:59:26 GMT
• Title: Measurement-based quantum computation with variable-range interacting systems
• Authors: Debkanta Ghosh, Keshav Das Agarwal, Pritam Halder, Aditi Sen De,
• Abstract summary: We show that weighted graph states (WGS) generated via variable-range interacting Ising spin systems can successfully implement single- and two-qubit gates.<n>We identify a threshold fall-off rate of the interaction above which the fidelity of both universal single- and two-qubit gates consistently exceeds $90%$ accuracy.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We demonstrate that weighted graph states (WGS) generated via variable-range interacting Ising spin systems where the interaction strength decays with distance as a power law, characterized by the fall-off rate, can successfully implement single- and two-qubit gates with fidelity exceeding classical limits by performing suitable measurements. In the regime of truly long-range interactions (small fall-off rate), optimizing over local unitary operations, while retaining the local measurement scheme in the original measurement-based quantum computation (MBQC) set-up, enables the scheme to achieve nonclassical average fidelities. Specifically, we identify a threshold fall-off rate of the interaction above which the fidelity of both universal single- and two-qubit gates consistently exceeds $90\%$ accuracy. Moreover, we exhibit that the gate-implementation protocol remains robust under two realistic imperfections -- noise in the measurement process, modeled via unsharp measurements, and disorder in the interaction strengths. These findings confirm WGS produced through long-range systems as a resilient and effective resource for MBQC.

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